Answer:
1
Step-by-step explanation:
The production cost of company 1 never gets below 340 (at x=20), found e.g., by equating the derived function to 0.
You can figure out that g(x) = 0.05x^2 -7x + 300, but you already know that company 1 has higher cost based on the example values for g(x).
Answer:
Hi!
The answer is:
Based on the given information, the minimum production cost for company __1__ is greater.
Step-by-step explanation:
You have to find the minimum value of a f(x), so you need to differentiate it, set it to zero and solve for x. Then differentiate the function again and calculate the value of the second derivative at the maximum or minimum points to find out whether it is a maximum or a minimum.
[tex]f(x) = 0.15x^2 - 6x + 400[/tex]
[tex]\frac{df}{dx}=2 * 0.15x - 6 = 0.30x - 6 [/tex] First derivative.
[tex][tex]\frac{d^2f}{dx^2} = 2 [/tex][/tex] Second derivative. Confirm it's a minimum point.
Minimum occurs at:
0.30x − 6 = 0
0.30x = 6
x = 6/0.30
x = 20
Replace x on equation f(x):
f(20) = 0.15 * 20² - 6 * 20 + 400 = 340.
For g(x), the value of minimum cost is:
g(70) = 55.
